Ill-posed fuzzy initial-boundary value problems based on generalized differentiability and regularization

doi:10.1016/j.fss.2015.04.016

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	Ill-posed fuzzy initial-boundary value problems based on generalized differentiability and regularization
	Gong, Zengtai 2; Yang, Hong 1,2
刊名	Fuzzy Sets and Systems
	2016-07-15
卷号	295 页码:99-113
关键词	Initial value problems Numerical methods Fuzzy partial Fuzzy partial differential equations Generalized differentiability Ill-posedness Regularization methods
ISSN号	01650114
DOI	10.1016/j.fss.2015.04.016
英文摘要	In this study, based on a new generalized differentiability and parametric representation for fuzzy valued functions, we discuss the existence of solutions for fuzzy partial differential equations (FPDEs) and their ill-posedness. A regularization method is required to recover the numerical stability. A stable approximation of the exact solution is obtained as an example of a Cauchy problem for the fuzzy Laplace equation. © 2015 Elsevier B.V.All rights reserved.
WOS研究方向	Computer Science ; Mathematics
语种	英语
出版者	Elsevier B.V.
WOS记录号	WOS:000375222600006
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/113027]
专题	兰州理工大学
作者单位	1.College of Technology and Engineering, Lanzhou University of Technology, Lanzhou; 730050, China 2.College of Mathematics and Statistics, Northwest Normal University, Lanzhou; 730070, China;
推荐引用方式 GB/T 7714	Gong, Zengtai,Yang, Hong. Ill-posed fuzzy initial-boundary value problems based on generalized differentiability and regularization[J]. Fuzzy Sets and Systems,2016,295:99-113.
APA	Gong, Zengtai,&Yang, Hong.(2016).Ill-posed fuzzy initial-boundary value problems based on generalized differentiability and regularization.Fuzzy Sets and Systems,295,99-113.
MLA	Gong, Zengtai,et al."Ill-posed fuzzy initial-boundary value problems based on generalized differentiability and regularization".Fuzzy Sets and Systems 295(2016):99-113.